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Finding the Third Proportional to 12,119.63 and 16,584.75

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Solution

The third proportional to 12,119.63 and 16,584.75 is: 22,694.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,119.63 : 16,584.75 = 16,584.75 : x
  2. Step 2: Convert to fraction form
    12,119.63/16,584.75 = 16,584.75/x
  3. Step 3: Cross multiply
    12,119.63x = 16,584.75 × 16,584.75
  4. Step 4: Simplify right side
    12,119.63x = 275,053,932.56
  5. Step 5: Solve for x
    x = 275,053,932.56/12,119.63
  6. Step 6: Final answer
    x = 22,694.92

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.